5.9: Examen de competencia
- Page ID
- 116686
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Para los problemas 1-12, realice cada operación indicada y escriba el resultado en la forma más simple.
Ejercicio\(\PageIndex{1}\)
\(\dfrac{3}{16} + \dfrac{1}{8}\)
- Responder
-
\(\dfrac{5}{16}\)
Ejercicio\(\PageIndex{2}\)
\(2 \dfrac{2}{3} + 5 \dfrac{1}{6}\)
- Responder
-
\(7 \dfrac{5}{6}\)
Ejercicio\(\PageIndex{3}\)
\(\dfrac{7}{15} \cdot \dfrac{20}{21} + \dfrac{5}{9}\)
- Responder
-
1
Ejercicio\(\PageIndex{4}\)
\(\dfrac{3}{11} + \dfrac{5}{11}\)
- Responder
-
\(\dfrac{8}{11}\)
Ejercicio\(\PageIndex{5}\)
\(6 \dfrac{2}{9} \cdot 1 \dfrac{17}{28} - (3 \dfrac{4}{17} - \dfrac{21}{17})\)
- Responder
-
8
Ejercicio\(\PageIndex{6}\)
\(5 \dfrac{1}{8} - 2 \dfrac{4}{5}\)
- Responder
-
\(2 \dfrac{13}{40}\)
Ejercicio\(\PageIndex{7}\)
\(\dfrac{\dfrac{7}{12}}{\dfrac{8}{21}}\)
- Responder
-
\(\dfrac{49}{32}\)o\(\dfrac{17}{32}\)
Ejercicio\(\PageIndex{8}\)
\(\dfrac{\dfrac{1}{8} + \dfrac{3}{4}}{1 \dfrac{7}{8}}\)
- Responder
-
\(\dfrac{7}{15}\)
Ejercicio\(\PageIndex{9}\)
\(4 \dfrac{5}{16} + 1 \dfrac{1}{3} - 2 \dfrac{5}{24}\)
- Responder
-
\(3 \dfrac{7}{16}\)
Ejercicio\(\PageIndex{10}\)
\(\dfrac{5}{18} \cdot (\dfrac{15}{16} - \dfrac{3}{8})\)
- Responder
-
\(\dfrac{5}{32}\)
Ejercicio\(\PageIndex{11}\)
\(4 + 2 \dfrac{1}{3}\)
- Responder
-
\(6 \dfrac{1}{3}\)o\(\dfrac{19}{3}\)
Ejercicio\(\PageIndex{12}\)
\(8 \dfrac{3}{7} - 5\)
- Responder
-
\(3 \dfrac{3}{7}\)
Para los problemas 13-15, especifique las fracciones que son equivalentes.
Ejercicio\(\PageIndex{13}\)
\(\dfrac{4}{5}, \dfrac{12}{15}\)
- Responder
-
equivalente
Ejercicio\(\PageIndex{14}\)
\(\dfrac{5}{8}, \dfrac{24}{40}\)
- Responder
-
no equivalente
Ejercicio\(\PageIndex{15}\)
\(\dfrac{5}{12}, \dfrac{80}{192}\)
- Responder
-
equivalente
Para problemas 16-20, coloque cada colección de fracciones en orden de menor a mayor.
Ejercicio\(\PageIndex{16}\)
\(\dfrac{8}{9}, \dfrac{6}{7}\)
- Responder
-
\(\dfrac{6}{7}, \dfrac{8}{9}\)
Ejercicio\(\PageIndex{17}\)
\(\dfrac{5}{8}, \dfrac{7}{9}\)
- Responder
-
\(\dfrac{5}{8}, \dfrac{7}{9}\)
Ejercicio\(\PageIndex{17}\)
\(11 \dfrac{5}{16}, 11 \dfrac{5}{12}\)
- Responder
-
\(11 \dfrac{5}{16}, 11 \dfrac{5}{12}\)
Ejercicio\(\PageIndex{18}\)
\(\dfrac{2}{15}, \dfrac{3}{10}, \dfrac{1}{6}\)
- Responder
-
\(\dfrac{2}{15}, \dfrac{1}{6}, \dfrac{3}{10}\)
Ejercicio\(\PageIndex{19}\)
\(\dfrac{19}{32}, \dfrac{9}{16}, \dfrac{5}{8}\)
- Responder
-
\(\dfrac{9}{16}, \dfrac{19}{32}, \dfrac{5}{8}\)